A new approach to linear interval differential equations as a first step toward solving fuzzy differential
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Data
2018-09-15
Autores
da Costa, Tiago M.
Chalco-Cano, Yurilev
Lodwick, Weldon A.
Silva, Geraldo N. [UNESP]
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Resumo
This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that use the gH-differentiability, this study does not make use of a criterion of choice for switching points in order to obtain solutions for such problems. The method herein presented provides solutions in a simple, straightforward, and computationally tractable way. Moreover, these solutions are intuitive because they coincide with the solutions given by a differential inclusion method. The efficiency and practicality of our approach are illustrated through some examples that have appeared in other articles.
Descrição
Palavras-chave
Interval differentiability, Interval initial value problems, Interval linear differential equations, Interval-valued functions
Como citar
Fuzzy Sets and Systems, v. 347, p. 129-141.